Task 2: Find the maximum stresses in a compound cylinder, the following four simultaneous linear equations...

 

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Task 2: Find the maximum stresses in a compound cylinder, the following four simultaneous linear equations need to be solved. 4.2857x107 -9.2307105 0 4.2857107 -5.4619105 -4.2857107 0 C -7.887x103 5.4619 105 C2 0 -6.5 0 -0.15384 0 6.5 4.2857 107 0.15384 C3 0.007 -3.6057 105 0 In the compound cylinder, the inner cylinder has an internal radius of a = 5", and an outer radius c = 6.5", while the outer cylinder has an internal radius of c = 6.5" and an outer radius of b = 8". Given E=3010 psi, v = 0.3, and that the hoop stress in the outer cylinder is given by E 1-v2 find the stress on the inside radius of the outer cylinder. Find the values of c, C2, C3 and C4 using the Gauss-Seidel Method. Use C C C3 -0.005 0.001 = 0.0002 0.03 as the initial guess and conduct three iterations. Task 2: Find the maximum stresses in a compound cylinder, the following four simultaneous linear equations need to be solved. 4.2857x107 -9.2307105 0 4.2857107 -5.4619105 -4.2857107 0 C -7.887x103 5.4619 105 C2 0 -6.5 0 -0.15384 0 6.5 4.2857 107 0.15384 C3 0.007 -3.6057 105 0 In the compound cylinder, the inner cylinder has an internal radius of a = 5", and an outer radius c = 6.5", while the outer cylinder has an internal radius of c = 6.5" and an outer radius of b = 8". Given E=3010 psi, v = 0.3, and that the hoop stress in the outer cylinder is given by E 1-v2 find the stress on the inside radius of the outer cylinder. Find the values of c, C2, C3 and C4 using the Gauss-Seidel Method. Use C C C3 -0.005 0.001 = 0.0002 0.03 as the initial guess and conduct three iterations.